Temat: graceful labeling - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Pentagonal Graceful Labeling of Some Graphs
Autorzy:: Mahendran, S.
Murugan, K.
Powiązania:: https://bibliotekanauki.pl/articles/1193373.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Pentagonal graceful number
pentagonal graceful graphs
pentagonal graceful labeling
Opis:: Numbers of the form (n(3n-1))/2 for all n ≥ 1 are called pentagonal numbers. Let G be a graph with p vertices and q edges. Let f : V(G)→{0,1,2,…,P_q} where P_q is the q^th pentagonal number be an injective function. Define the function f *: E(G) → {1,5,…,P_q} such that f *(uv)=│f(u)-f(v)│for all edges uv∈E(G). If f *( E(G)) is a sequence of distinct consecutive pentagonal numbers {P_1,P_2,…,P_q}, then the function f is said to be pentagonal graceful labeling and the graph which admits such a labeling is called a pentagonal graceful graph. In this paper, pentagonal graceful labeling of some graphs is studied.
Źródło:: World Scientific News; 2021, 155; 98-112
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Octagonal Graceful Labeling of Some Special Graphs
Autorzy:: Mahendran, S.
Powiązania:: https://bibliotekanauki.pl/articles/1193401.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Octagonal graceful number
octagonal graceful graphs
octagonal graceful labeling
Opis:: Numbers of the form 3n2-2n for all n ≥ 1 are called octagonal numbers. Let G be a graph with p vertices and q edges. Let f :V(G)→{0,1,2,…,M_q} where M_q is the q^th octagonal number be an injective function. Define the function f *: E(G) → {1,8,…,M_q} such that f *(uv) = │f(u)-f(v)│for all edges uv ∈E(G). If f *(E(G)) is a sequence of distinct consecutive octagonal numbers {M_1,M_2,…,M_q}, then the function f is said to be octagonal graceful labeling and the graph which admits such a labeling is called a octagonal graceful graph. In this paper, octagonal graceful labeling of some graphs is studied.
Źródło:: World Scientific News; 2021, 156; 87-101
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Some Special Graceful Labeling Results of Pentagonal Pyramidal Graceful Graphs
Autorzy:: Mahendran, S.
Powiązania:: https://bibliotekanauki.pl/articles/1193441.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Pentagonal pyramidal graceful number
pentagonal pyramidal graceful graphs
pentagonal pyramidal graceful labeling
Opis:: Numbers of the form (n^(2 ) (n+1))/2 for all n≥1 are called pentagonal pyramidal numbers. Let G be a graph with p vertices and q edges. Let Ψ : V(G) →{0, 1, 2… M_r} where M_r is the r^th pentagonal pyramidal number be an injective function. Define the function Ψ*:E(G) →{1,6,18,.., M_r} such that Ψ *(uv) = |Ψ (u)- Ψ (v)| for all edges uvϵE(G). If Ψ*(E (G)) is a sequence of distinct consecutive pentagonal pyramidal numbers {M_1,M_2, …, M_r}, then the function Ψ is said to be pentagonal pyramidal graceful labeling and the graph which admits such a labeling is called a pentagonal pyramidal graceful graph. In this paper, some special graceful labeling results of pentagonal pyramidal graceful graphs is studied.
Źródło:: World Scientific News; 2021, 157; 67-79
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Some Special Results for Square Pyramidal Graceful Graphs
Autorzy:: Mahendran, S.
Powiązania:: https://bibliotekanauki.pl/articles/1193411.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Square pyramidal graceful number
square pyramidal graceful graphs
square pyramidal graceful labeling
Opis:: Numbers of the form (n(n+1)(2n+1))/6 for all n≥1 are called square pyramidal numbers. Let G be a graph with p vertices and q edges. Let τ : V(G) →{0, 1, 2… M_k} where M_k is the k^th square pyramidal number be an injective function. Define the function τ*:E(G)→{1,5,14,.., M_k} such that τ *(uv) = |τ (u)- τ (v)| for all edges uvϵE(G). If τ *(E(G)) is a sequence of distinct consecutive square pyramidal numbers {M_1,M_2, …, M_k}, then the function τ is said to be square pyramidal graceful labeling and the graph which admits such a labeling is called a square pyramidal graceful graph. In this paper, some special results for square pyramidal graceful graphs is studied.
Źródło:: World Scientific News; 2021, 156; 147-160
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Some results on centered triangular graceful graphs
Autorzy:: Baskar, M.
Namasivayam, P.
Syed Ali Nisaya, M. P.
Mahendran, S.
Powiązania:: https://bibliotekanauki.pl/articles/1193414.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Centered triangular numbers
centered triangular graceful graphs
centered triangular graceful labeling
Opis:: Let G be a graph with p vertices and q edges. The nth centered triangular number is denoted by C_n, where C_n = 1/2 (3n2 - 3n + 2). A centered triangular graceful labeling of a graph G is a one-to-one function f : V (G) → {0,1,…C_q} that induces a bijection f *: E(G) →{C_1 〖,C〗_2,…C_q} of the edges of G defined by f * (e) = │f(u) - f(v)│, for all e = uv ∊ E(G). The graph which admits such labeling is called a centered triangular graceful graph.
Źródło:: World Scientific News; 2021, 156; 176-191
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

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